Period-doubling Bifurcation in an Array of Coupled Stochastically-excitable Elements Subjected to Global Periodic Forcing

Authors

Xiaohua Cui, University of California, Los Angeles
Robert J. Rovetti, Loyola Marymount UniversityFollow
Ling Yang, Shuzhou University
Alan Garfinkel, University of California, Los Angeles
James N. Weiss, University of California, Los Angeles
Zhilin Qu, University of California, Los Angeles

Document Type

Article - post-print

Publication Date

7-2009

Abstract

The collective behaviors of coupled, stochastically-excitable elements subjected to global periodic forcing are investigated numerically and analytically. We show that the whole system undergoes a period-doubling bifurcation as the driving period decreases, while the individual elements still exhibit random excitations. Using a mean-field representation, we show that this macroscopic bifurcation behavior is caused by interactions between the random excitation, the refractory period, and recruitment (spatial cooperativity) of the excitable elements.

Original Publication Citation

Cui, X., Rovetti, R. J., Yang, L., Garfinkel, A., Weiss, J. N., & Qu, Z. (2009). Period-doubling Bifurcation in an Array of Coupled Stochastically-excitable Elements Subjected to Global Periodic Forcing. Physical Review Letters, 103(4), 044102.

Publisher Statement

This is an author-manuscript of an article accepted for publication in Physical Review Letters following peer review. The version of record is available online at: 10.1103/PhysRevLett.103.044102.

Digital Commons @ LMU & LLS Citation

Cui, Xiaohua; Rovetti, Robert J.; Yang, Ling; Garfinkel, Alan; Weiss, James N.; and Qu, Zhilin, "Period-doubling Bifurcation in an Array of Coupled Stochastically-excitable Elements Subjected to Global Periodic Forcing" (2009). Mathematics, Statistics and Data Science Faculty Works. 98.
https://digitalcommons.lmu.edu/math_fac/98